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Ceiling-and-floor-functions
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Proving a floor function is surjective
August 1st, 2022
terminology
ceiling-and-floor-functions
discrete-mathematics
Expectation of a floor function applied to a continuous uniform random variable
June 5th, 2020
probability
ceiling-and-floor-functions
Discontinuity of floor function
November 23rd, 2020
real-analysis
ceiling-and-floor-functions
continuity
analysis
What can the floor of a square root be rewritten as?
February 2nd, 2020
ceiling-and-floor-functions
Proving two equations containing ceiling and floor function to be equal
August 1st, 2022
discrete-mathematics
ceiling-and-floor-functions
factorial
How do I prove that the ceiling of the floor of x is equal to the floor of x?
November 2nd, 2020
ceiling-and-floor-functions
Proof involving floor and ceiling function
August 1st, 2022
ceiling-and-floor-functions
discrete-mathematics
calculus
algebra-precalculus
Find the limit with greatest integer function: $\lim\limits_{x \to 0}\frac{[x]}{x}$
August 1st, 2022
calculus
limits
ceiling-and-floor-functions
Functions (Onto and one-to-one) and Floor functions
August 1st, 2022
ceiling-and-floor-functions
functions
The floor and ceiling functions are equal for integer numbers
December 11th, 2020
real-analysis
ceiling-and-floor-functions
Limit, Greatest Integer function?
September 18th, 2020
calculus
limits
ceiling-and-floor-functions
Finding the fourier series of floor function
October 1st, 2020
integration
convergence-divergence
fourier-analysis
fourier-series
ceiling-and-floor-functions
Measurability of the floor function
August 1st, 2022
borel-sets
measurable-functions
ceiling-and-floor-functions
measure-theory
limit of floor function, ceiling function and fractions
September 1st, 2020
ceiling-and-floor-functions
limits
fractions
Find all $x$ for which $\left| x - \left| x-1 \right| \right| = \lfloor x \rfloor$
August 1st, 2022
ceiling-and-floor-functions
linear-algebra
algebra-precalculus
absolute-value
Proof about floor function: $\lfloor x\rfloor+\lfloor x + \frac{1}{n} \rfloor+\cdots + \lfloor x + \frac{(n-1)}{n} \rfloor = \lfloor nx \rfloor$
August 17th, 2020
summation
ceiling-and-floor-functions
Find the number of possible solution of |[x]-2x|=4
July 24th, 2020
ceiling-and-floor-functions
absolute-value
Summation Closed form for floor$\left(\log_n\right)$
August 1st, 2022
logarithms
summation
closed-form
ceiling-and-floor-functions
How to solve a recurrence relation involving a ceiling function?
August 1st, 2022
recurrence-relations
ceiling-and-floor-functions
formula for $\sum_{k=0}^{m} \lfloor{\sqrt{k}}\rfloor$ when m is a positive integer
August 1st, 2022
ceiling-and-floor-functions
radicals
summation
Function with an asymptote at y=-1 and y=1
August 1st, 2022
functions
asymptotics
ceiling-and-floor-functions
Definite integral of ceiling function
December 29th, 2020
ceiling-and-floor-functions
definite-integrals
How to prove that the $\lceil x y \rceil \le \lceil x\rceil\lceil y\rceil$ for positive real numbers $x, y$?
August 1st, 2022
proof-writing
ceiling-and-floor-functions
inequality
Proving that $ \lfloor \lceil x \rceil \rfloor = \lceil x \rceil $ for all real numbers $ x $.
August 1st, 2022
ceiling-and-floor-functions
Find the integer part of the sum $S=\sum_{k=1}^{80} \frac{1}{\sqrt k} $
August 1st, 2022
closed-form
summation
inequality
sequences-and-series
ceiling-and-floor-functions
Prove that if $m$ and $n$ are positive integers, and $x$ is a real number, then: $ceiling(\frac{ceiling(x)+n}{m}) = ceiling(\frac{x+n}{m})$
July 1st, 2020
ceiling-and-floor-functions
discrete-mathematics
How to prove ceiling and floor inequality more 'formally'?
June 20th, 2021
ceiling-and-floor-functions
proof-writing
proof-verification
inequality
Proof that $ [2x] + [2y] \ge [x]+ [x+y] + [y]$?
August 1st, 2022
proof-verification
number-theory
ceiling-and-floor-functions
Strict upper and lower bounds of a sum (Big-Theta)
August 1st, 2022
asymptotics
ceiling-and-floor-functions
convergence-divergence
definite-integrals
summation
Injective function proof involving floor function
August 1st, 2022
formal-proofs
discrete-mathematics
ceiling-and-floor-functions
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